2x(3xy + 4y² + 8y)
6x²2xy + 2x4y² + 2x8y
12x² + 10y²
What is this?
Are you expanding 2x(3xy + 4y² + 8y) ?
Then it would simply be
= 6x^2 y + 8x y^2 + 16xy
What you did is pure mathematical gibberish
What exactly are your instructions here?
To simplify the expression 2x(3xy + 4y² + 8y), use the distributive property to multiply 2x by each term inside the parentheses:
2x * 3xy = 6x²y
2x * 4y² = 8xy²
2x * 8y = 16xy
Now combine the like terms:
6x²y + 8xy² + 16xy
To simplify further, we can look for common factors between the terms. In this case, we can factor out an "xy":
xy(6x + 8y + 16)
Now we can further simplify the expression:
xy(3x + 4y + 8) = 3xy(x + 4) + 8xy
So the simplified expression is 3xy(x + 4) + 8xy.